NOTE: It is hard to correctly type the piecewise-defined functions using a regular keyboard.

I hope you can understand the above.

I'll do the first one for you- graph it. The conditions are the "if" parts in the piece-wise function. Domain is (-3, inf) and there are no intersepts. Try graphing it. You have a line with slope = 1 and an exponential function.

EDIT: Sorry, there are x and y-intercepts, as Soroban pointed out, although the two graphs do not not intersect which is what I was getting at.

Jan 19th 2007, 03:16 PM

Soroban

Hello, symmetry!

Quote:

For both questions below:. . (a) Find the domain of the function.. . (b) Locate any intercepts.

No, I did not sketch the graph because I do not know how to graph piecewise-defined functions.

I understand these functions are graphed in parts, right?

Can you take me through a sample graphing question in terms of this type of function?

Thanks!

Jan 20th 2007, 12:49 AM

AfterShock

Quote:

Originally Posted by symmetry

Thank you again both for your quick replies.

To soroban,

No, I did not sketch the graph because I do not know how to graph piecewise-defined functions.

I understand these functions are graphed in parts, right?

Can you take me through a sample graphing question in terms of this type of function?

Thanks!

Yes, they are 'graphed in parts,' I guess you could call it.

For instance,

Take the first condition;

f(x) = 3 + x if -3 <= x < 0

From x = -3 (including this point) to x = 0 (not including, and thus draw an open circle by this point), you will graph 3 + x; see Soroban's graph. The reason why it's closed (solid dot) is because of the next condition later, and thus includes that point. Try look up piece-wise functions on Wikipedia.

Jan 20th 2007, 06:34 AM

symmetry

ok

I like graphing functions. I think piecewise-defined functions are cool but not easy to sketch.

Thanks!

Jan 20th 2007, 07:05 AM

Soroban

Hello again, symmetry!

Okay, here's an example.

. .

When is between and (including the endpoints),. . the graph is , a horizontal line.

Code:

|
3* * * * *
|
|
- + - - - + - -
| 1

When is greater than 1, the graph is ,. . a slanted line.

Code:

|
| *
| *
| *
| *
3| *
|
|
- + - - - + - - - - - - -
| 1

Sketch them on the same graph. . and have the graph of the piecewise function.

Code:

|
| *
| *
| *
| *
3o * * * *
|
|
- + - - - + - - - - - - -
| 1

This function could be your long-distance charge.

They might charge $3 for the first minute. . and $2 per minute for every subsequent minute.